Question

Consider a simple economy with search unemployment. The matching function is given by M = eQ^(1/2)A^(1/2)...

Consider a simple economy with search unemployment. The matching function is given by

M = eQ^(1/2)A^(1/2)

There were initially Q = 1000 unemployed workers looking for a job. Let b = 0.5, z = 1, k = 0.1, e = 3/5 and a = 0.5, where k is the cost of creating a vacancy.

  1. Calculate the market tightness j. Show your calculation in details.
  2. What is the unemployment rate?
  3. What is the vacancy rate?
  4. How many vacancies are posted in the economy?
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